23405200 has 120 divisors (see below), whose sum is σ = 69315008. Its totient is φ = 7395840.

The previous prime is 23405183. The next prime is 23405203. The reversal of 23405200 is 250432.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23405203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36079 + ... + 36721.

Almost surely, 2^23405200 is an apocalyptic number.

23405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34657504).

23405200 is an abundant number, since it is smaller than the sum of its proper divisors (45909808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23405200 is a wasteful number, since it uses less digits than its factorization.

23405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23405200 is about 4837.8921029721. The cubic root of 23405200 is about 286.0470361291.

Adding to 23405200 its reverse (250432), we get a palindrome (23655632).

The spelling of 23405200 in words is "twenty-three million, four hundred five thousand, two hundred".